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80193528 = 23321931261
BaseRepresentation
bin1001100011110…
…10011111111000
312120220020211200
410301322133320
5131012143103
611542454200
71662430242
oct461723770
9176806750
1080193528
11412a3648
1222a34360
13137ca4bc
14a917092
1570910a3
hex4c7a7f8

80193528 has 144 divisors (see below), whose sum is σ = 240107400. Its totient is φ = 24105600.

The previous prime is 80193523. The next prime is 80193551. The reversal of 80193528 is 82539108.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 80193492 and 80193501.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80193523) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1314618 + ... + 1314678.

Almost surely, 280193528 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 80193528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120053700).

80193528 is an abundant number, since it is smaller than the sum of its proper divisors (159913872).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

80193528 is a wasteful number, since it uses less digits than its factorization.

80193528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 80193528 is about 8955.0839192048. The cubic root of 80193528 is about 431.2341110718.

The spelling of 80193528 in words is "eighty million, one hundred ninety-three thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 31 36 38 57 61 62 72 76 93 114 122 124 152 171 183 186 228 244 248 279 342 366 372 456 488 549 558 589 684 732 744 961 1098 1116 1159 1178 1368 1464 1767 1891 1922 2196 2232 2318 2356 2883 3477 3534 3782 3844 4392 4636 4712 5301 5673 5766 6954 7068 7564 7688 8649 9272 10431 10602 11346 11532 13908 14136 15128 17019 17298 18259 20862 21204 22692 23064 27816 34038 34596 35929 36518 41724 42408 45384 54777 58621 68076 69192 71858 73036 83448 107787 109554 117242 136152 143716 146072 164331 175863 215574 219108 234484 287432 323361 328662 351726 431148 438216 468968 527589 646722 657324 703452 862296 1055178 1113799 1293444 1314648 1406904 2110356 2227598 2586888 3341397 4220712 4455196 6682794 8910392 10024191 13365588 20048382 26731176 40096764 80193528